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575325504 = 2634138537
BaseRepresentation
bin100010010010101…
…100010101000000
31111002120120020000
4202102230111000
52134240404004
6133031120000
720154120555
oct4222542500
91432516200
10575325504
11275835626
12140813000
13922698c0
14565a2a2c
1535796c39
hex224ac540

575325504 has 140 divisors (see below), whose sum is σ = 1836848244. Its totient is φ = 177002496.

The previous prime is 575325503. The next prime is 575325523. The reversal of 575325504 is 405523575.

575325504 is a `hidden beast` number, since 5 + 75 + 32 + 550 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 301091904 + 274233600 = 17352^2 + 16560^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575325503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63124 + ... + 71660.

Almost surely, 2575325504 is an apocalyptic number.

575325504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918424122).

575325504 is an abundant number, since it is smaller than the sum of its proper divisors (1261522740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

575325504 is a wasteful number, since it uses less digits than its factorization.

575325504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8574 (or 8555 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 36.

The square root of 575325504 is about 23985.9438838667. The cubic root of 575325504 is about 831.7086319486.

It can be divided in two parts, 57532 and 5504, that added together give a palindrome (63036).

The spelling of 575325504 in words is "five hundred seventy-five million, three hundred twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 8537 11232 16848 17074 22464 25611 33696 34148 51222 67392 68296 76833 102444 110981 136592 153666 204888 221962 230499 273184 307332 332943 409776 443924 460998 546368 614664 665886 691497 819552 887848 921996 998829 1229328 1331772 1382994 1639104 1775696 1843992 1997658 2458656 2663544 2765988 2996487 3551392 3687984 3995316 4917312 5327088 5531976 5992974 7102784 7375968 7990632 8989461 10654176 11063952 11985948 14751936 15981264 17978922 21308352 22127904 23971896 31962528 35957844 44255808 47943792 63925056 71915688 95887584 143831376 191775168 287662752 575325504